We consider the security of the Rila-Mitchell security protocols recently proposed for biometrics-based smartcard systems. We first present a man-in-the-middle (MITM) attack on one of these protocols and hence show that it fails to achieve mutual authentication between the smartcard and smartcard reader. In particular, a hostile smartcard can trick the reader into believing that it is a legitimate card and vice versa. We also discuss security cautions that if not handled carefully would lead to attacks. We further suggest countermeasures to strengthen the protocols against our attacks, as well as to guard against the cautions highlighted. Our emphasis here is that seemingly secure protocols when implemented with poor choices of parameters would lead to attacks.